1. The problem is to find the degree of the polynomial $x^3 + 2x^2 + 3x + 4$. 2. The degree of a polynomial is the highest power of the variable $x$ with a non-zero coefficient. 3. In the polynomial $x^3 + 2x^2 + 3x + 4$, the powers of $x$ are 3, 2, 1, and 0. 4. The highest power is 3, so the degree of the polynomial is 3. Final answer: The degree of the polynomial $x^3 + 2x^2 + 3x + 4$ is 3.